No timetable has been established for the NFL to rule on charges the Texans conducted one-on-one pass rushing drills that are prohibited in the offseason.

Grievances filed by players are heard by independent arbitrators and are supposed to be expedited, but an investigation by the NFL Players Association and league commissioner Roger Goodell on allegations that three players suffered season-ending injuries doing illegal drills could take months.

Penalties for violations during OTAs are spelled out in the collective bargaining agreement. For the first violation, there’s a one-week loss of OTAs and a fine for the coach. For a second violation during a league year, it can be a fourth-round draft pick.

Because there was no first offense that was arbitrated against the Texans, there’s a good chance Goodell won’t throw the book at them.

But because no penalty is spelled out in the collective bargaining agreement for violations during minicamps, Goodell could punish the Texans severely — losing a week of OTAs, a fine and a draft choice.

Guard Dan Stevenson (shoulder) and former center Chukky Okobi (triceps) were injured during last year’s minicamp. Former offensive tackle Jordan Black (shoulder) was injured during an OTA. All were injured doing one-on-one pass drills that were prohibited, according to Stevenson and Black.

Stevenson, who spent the season on injured reserve, went public with his accusations that Texans coach Gary Kubiak conducted drills that were prohibited by the collective bargaining agreement. He also provided video of the drills to ESPN.

Stevenson has a non-injury grievance pending, and might file a lawsuit against the Texans.

While on injured reserve, Stevenson made $200,000. The standard three-year contract he signed last year as a first-year player calls for $310,000 this year and $475,000 in 2010.

In most cases, independent arbitrators who rule in a player’s favor on a non-injury grievance don’t give the player more than what’s left on his contract. That means Stevenson could get as much as $785,000 if he wins his case.

Black, who was waived before training camp, filed a grievance trying to recoup the $1.3 million he would have earned last year if he had made the team. Black claimed the Texans waived him when he was injured, which is against league rules unless an injury settlement is reached with the player.

Black underwent surgery and signed with Jacksonville in December.

Okobi reached an injury settlement with the Texans in June.

The Texans and the NFL declined comment because those grievances are pending.

Stevenson says kicker Kris Brown, the team’s player representative, and former tight end Mark Bruener, a member of the NFLPA executive committee, told Kubiak the drills were prohibited, but they continued anyway.

“It’s ironic that coaches have all their rules for players and then decide not to follow rules put in for players’ safety,” said Tom DePaso, an executive with the NFLPA. “Every year, one or two clubs have issues (in the offseason), and we follow through.”

How fast the arbitrators, NFLPA and the NFL follow through remains to be seen.